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Browsing by Author "Afshari, H."

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    Article
    Citation - Scopus: 105
    A discussion on the existence of positive solutions of the boundary value problems via ψ-Hilfer fractional derivative on b-metric spaces
    (Springer Science and Business Media Deutschland GmbH, 2020) Afshari, H.; Karapınar, Erdal; Karapınar, E.; 19184; Matematik
    In this paper, we investigate the existence of positive solutions for the new class of boundary value problems via ψ-Hilfer fractional differential equations. For our purpose, we use the α− ψ Geraghty-type contraction in the framework of the b-metric space. We give an example illustrating the validity of the proved results. © 2020, The Author(s).
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    Citation - WoS: 22
    Citation - Scopus: 32
    A solution of the fractional differential equations in the setting of b-metric space
    (Vasyl Stefanyk Precarpathian Natl Univ, 2021) Afshari, H.; Karapinar, E.; 19184
    In this paper, we study the existence of solutions for the following differential equations by using a fixed point theorems {D(c)(mu)w(sigma) +/- D(c)(nu)w(sigma) = h(sigma, w(sigma)), sigma is an element of J, 0 < nu < mu < 1, w(0) = w(0), where D-mu, D-nu is the Caputo derivative of order mu, nu, respectively and h: J x R -> R is continuous. The results are well demonstrated with the aid of exciting examples.